The COVID-19 DNA-RNA Genetic Code Analysis Using Double Stochastic and Block Circulant Jacket Matrix

We present a COVID-19 DNA-RNA genetic code where A=T=U=31% and C=G=19%, which has been developed from a base matrix CUAG where C, U, A, and G are RNA bases while C, U, A, and T are DNA bases that E. Chargaff found them complementary like A=T=U=30%, and C=G=20% from his experimental results, which implied the structure of DNA double helix and its complementary combination. Unfortunately, they have not been solved mathematically yet. Therefore, in this paper, we present a simple solution by the information theory of a doubly stochastic matrix over the Shannon symmetric channel as well as prove it mathematically. Furthermore, we show that DNA-RNA genetic code is one kind of block circulant Jacket matrix. Moreover, general patterns by block circulant, upper-lower, and left-right scheme are presented, which are applied to the correct communication as well as means the healthy condition because it perfectly consists of 4 bases. Henceforth, we also provide abnormal patterns by block circulant, upper-lower, and left-right scheme, which cover the distorted signal as well as COVID-19.